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Finding the Third Proportional to 396,685 and 595,892

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Solution

The third proportional to 396,685 and 595,892 is: 895,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,685 : 595,892 = 595,892 : x
  2. Step 2: Convert to fraction form
    396,685/595,892 = 595,892/x
  3. Step 3: Cross multiply
    396,685x = 595,892 × 595,892
  4. Step 4: Simplify right side
    396,685x = 355,087,275,664
  5. Step 5: Solve for x
    x = 355,087,275,664/396,685
  6. Step 6: Final answer
    x = 895,136.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.